Search a number
-
+
10132030200 = 2335244338119
BaseRepresentation
bin10010110111110101…
…01000001011111000
3222011010012110111210
421123322220023320
5131222244431300
64353220323120
7506036556435
oct113372501370
928133173453
1010132030200
11432a2a3286
121b692434a0
13c56167056
146c18d0b8c
153e478d050
hex25bea82f8

10132030200 has 96 divisors (see below), whose sum is σ = 31481020800. Its totient is φ = 2695704960.

The previous prime is 10132030189. The next prime is 10132030201. The reversal of 10132030200 is 203023101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132030201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246741 + ... + 284859.

It is an arithmetic number, because the mean of its divisors is an integer number (327927300).

Almost surely, 210132030200 is an apocalyptic number.

10132030200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10132030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740510400).

10132030200 is an abundant number, since it is smaller than the sum of its proper divisors (21348990600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10132030200 is a wasteful number, since it uses less digits than its factorization.

10132030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38581 (or 38572 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10132030200 its reverse (203023101), we get a palindrome (10335053301).

The spelling of 10132030200 in words is "ten billion, one hundred thirty-two million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 443 600 886 1329 1772 2215 2658 3544 4430 5316 6645 8860 10632 11075 13290 17720 22150 26580 33225 38119 44300 53160 66450 76238 88600 114357 132900 152476 190595 228714 265800 304952 381190 457428 571785 762380 914856 952975 1143570 1524760 1905950 2287140 2858925 3811900 4574280 5717850 7623800 11435700 16886717 22871400 33773434 50660151 67546868 84433585 101320302 135093736 168867170 202640604 253300755 337734340 405281208 422167925 506601510 675468680 844335850 1013203020 1266503775 1688671700 2026406040 2533007550 3377343400 5066015100 10132030200